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Finding the Fourth Proportional to 83,710.19, 115,521.31 and 45,470.49

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Solution

The fourth proportional to 83,710.19, 115,521.31 and 45,470.49 is: 62,749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,710.19 : 115,521.31 = 45,470.49 : x
  2. Step 2: Convert to fraction form
    83,710.19/115,521.31 = 45,470.49/x
  3. Step 3: Cross multiply
    83,710.19x = 115,521.31 × 45,470.49
  4. Step 4: Simplify right side
    83,710.19x = 5,252,810,411.38
  5. Step 5: Solve for x
    x = 5,252,810,411.38/83,710.19
  6. Step 6: Final answer
    x = 62,749.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.